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math.DS2008
Solvability of Rado systems in D-sets
Mathias Beiglböck, Vitaly Bergelson, Tomasz Downarowicz +1
Rado's Theorem characterizes the systems of homogenous linear equations having the property that for any finite partition of the positive integers one cell contains a solution to t…
math.DS2008★ 3 cited
Rigidity of measures invariant under the action of a multiplicative semigroup of polynomial growth on $\T$
Manfred Einsiedler, Alexander Fish
We prove that if a Borel probability measure (μ) on (\T) is invariant under the action of a "large" multiplicative semigroup (lower logarithmic density is positive) and the action…